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Solve 8x + 14 = 54

The solution of 8x + 14 = 54 is x = 5.

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The lines y = 8x + 14 and y = 54 meet at x = 524681020406080100x = 5y = 8x + 14y = 54
The lines y = 8x + 14 and y = 54 meet at x = 5. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    8x+14=548x + 14 = 54
  2. 2

    Subtract 14 from both sides:

    8x+14−14=54−14 ⇒ 8x=408x + 14 - 14 = 54 - 14 \ \Rightarrow\ 8x = 40
  3. 3

    Divide both sides by 8:

    8x8=408 ⇒ x=5\frac{8x}{8} = \frac{40}{8} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    8⋅5+14=40+14=54✓8\cdot5 + 14 = 40 + 14 = 54 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 14 = 54\ \Rightarrow\ x = 5 \]
\[ 8x + 14 = 54 \]
\[ 8x + 14 - 14 = 54 - 14 \ \Rightarrow\ 8x = 40 \]
\[ \frac{8x}{8} = \frac{40}{8} \ \Rightarrow\ x = 5 \]
\[ 8\cdot5 + 14 = 40 + 14 = 54 \checkmark \]

Trying values of x in 8x + 14 = 54

x8x + 14Equals 54?
338no
446no
554yes
662no
770no

Questions

What is x in 8x + 14 = 54?

The solution of 8x + 14 = 54 is x = 5.

How do you solve 8x + 14 = 54?

Subtract 14 from both sides to get 8x = 40, then divide both sides by 8 to get x = 5.

How do I check the answer?

Replace x by 5: 8(5) + 14 = 54, which is 54.

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    Solve 8x + 14 = 54: x = 5 (steps and check) | WordGPT